5y - 4x = 5
5y = 4x + 5
y = 4/5x + 1.....slope of 4/5 and y intercept of (0,1)
        
             
        
        
        
One and a fourth bags of popcorn
        
             
        
        
        
Let Sarah's age be s and Antonio's age be a.
According to your question,
2a + 3s = 34
s = 5a
substituting the value of s in eq. 1,
2a + 3(5a) = 34
= 2a + 15 a = 34
17a = 34
thus, a = 34/17 = 2
substituting the value of a is s,
s = 5(2)
= 10
Thus, Sarah's age is 10 years and Antonio's age is 2 years.
        
             
        
        
        
Answer: 
√3
Step-by-step explanation:
We cannot solve this operation directly. Because cot7pi/6 is undefined.
We know that 1/tan= cot.
so we will first take the reciprocal of cot that is 1/tan.
So,
cot7pi/6= 1/tan 7π/6
∵7π/6 = 210 where pi=180
so cot7π/6  =1/tan210
cot7π/6 =1/1÷√3
cot7π/6 = √3